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A wooden crate in the shape of a cube has a volume of 1

27 cubic foot.
How many cubic blocks of side length 1

6 foot are required to find the
volume of the crate?
A.
4
B.
8
C.
12
D.
16
E.
20

Respuesta :

kudzordzifrancis

ANSWER

B. 8

EXPLANATION

Volume of wooden crate is

[tex] \frac{1}{27} {ft}^{3} [/tex]

The cubic blocks have side length,

[tex]l = \frac{1}{6} ft[/tex]

The volume of each cubic blocks is,

[tex]v = {l}^{3} [/tex]

[tex] = ( \frac{1}{6} )^{3} = \frac{1}{216} [/tex]

Number of blocks that can go into the crate is,

[tex] = \frac{ \frac{1}{27} }{ \frac{1}{216} } [/tex]

[tex] = \frac{1}{27} \times \frac{216}{1} [/tex]

[tex] = 8 \: blocks[/tex]

alinakincsem

Answer:

The correct answer option is B. 8.

Step-by-step explanation:

We know that a wooden crate in cubic shape has a volume of [tex]\frac{1}{27} ft^3[/tex] and we are to find how many cubic blocks of side length [tex]\frac{1}{6} ft[/tex] are required to find the  volume of the crate.

We know the formula of volume for each cubic block: [tex]v=l^3[/tex]

Substituting the given values in the formula to get:

[tex](\frac{1}{6} )^3=\frac{1}{216}[/tex]

So the number of blocks that can cover the crate will be:

[tex]\frac{\frac{1}{27} }{\frac{1}{216} }[/tex]

[tex]\frac{1}{27} *\frac{216}{1} =[/tex] 8 blocks

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